132414255110501 has 72 divisors (see below), whose sum is σ = 168266487783240. Its totient is φ = 103845074651136.

The previous prime is 132414255110497. The next prime is 132414255110521. The reversal of 132414255110501 is 105011552414231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8847709740100 + 123566545370401 = 2974510^2 + 11116049^2 .

It is not a de Polignac number, because 132414255110501 - 2² = 132414255110497 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132414255110521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 531623345 + ... + 531872361.

It is an arithmetic number, because the mean of its divisors is an integer number (2337034552545).

Almost surely, 2^{132414255110501} is an apocalyptic number.

It is an amenable number.

132414255110501 is a deficient number, since it is larger than the sum of its proper divisors (35852232672739).

132414255110501 is a wasteful number, since it uses less digits than its factorization.

132414255110501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249623 (or 249603 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The spelling of 132414255110501 in words is "one hundred thirty-two trillion, four hundred fourteen billion, two hundred fifty-five million, one hundred ten thousand, five hundred one".